what is normal?. standard normal distribution the standard normal distribution is a special case of...

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What is normal?

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Page 1: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

What is normal?

Page 2: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 3: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 4: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Standard Normal Distribution

The standard normal distribution is a special case of the normal distribution. It is the distribution that occurs when a distribution has a mean of zero and a standard deviation of one.

The normal random variable of a standard normal distribution is called a standard score or a z-score. Every normal random variable X can be transformed into a z score via the following equation:

zx

Page 5: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Here’s a question –

Mandee took the ACT and received a score of 33, but Daniel (who is interested in East Coast Ivy League schools) took the SAT and received a score of 2230. Jessica got a 3 on the ACT and is obviously not part of the question…

Who has bragging rights?

ACT is normal, N(21.8,3.45)SAT is normal, N(1546, 291)

Page 6: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 7: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 8: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 9: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

To find percentages in a normal distribution:

Page 10: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

To find percentiles in a normal distribution…

Page 11: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Calculator functions:

Page 12: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 13: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 14: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 15: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 16: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 17: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 18: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 19: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 20: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 21: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 22: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

Page 23: What is normal?. Standard Normal Distribution The standard normal distribution is a special case of the normal distribution. It is the distribution

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